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math.DG2011
Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm
Tapio Rajala
We construct geodesics in the Wasserstein space of probability measure along which all the measures have an upper bound on their density that is determined by the densities of the…
math.DG2011★ 24 cited
Local Poincaré inequalities from stable curvature conditions on metric spaces
Tapio Rajala
We prove local Poincaré inequalities under various curvature-dimension conditions which are stable under the measured Gromov-Hausdorff convergence. The first class of spaces we con…